Raina started walking from the bus stand towards the east and went 80 m. Then she turned left and walked 70 m. She turned left again and walked 55 m. Then she turned right and walked 45 m. Which side should she turn now and how much distance should she walk so that she is 115 m north from the bus stand?

Raina started walking from the bus stand towards the east and went 80 m. Then she turned left and walked 70 m. She turned left again and walked 55 m. Then she turned right and walked 45 m. Which side should she turn now and how much distance should she walk so that she is 115 m north from the bus stand? Correct Answer Left, 25 m

[ alt="F1 Archana.M 07-09-21 Savita D2" src="//storage.googleapis.com/tb-img/production/21/09/F1_Archana.M_07-09-21_Savita_D2.png" style="width: 170px; height: 129px;">

  1. Let X be the point which is 115 m North of the bus stand. This point X is the destination of Raina.
  2. We need to calculate the distance to be travelled by Raina from the endpoint to reach X, and also determine the turns she needs to take while doing so.

[ alt="F2 Archana M 21-09-21 Savita D1" src="//storage.googleapis.com/tb-img/production/21/09/F2_Archana_M_21-09-21_Savita_D1.png" style="width: 253px; height: 317px;">

  • Now, X is to the left of Raina.
  • Therefore, Raina should turn to her left.
  • Also, the distance between X and Raina = (80 – 55) m = 25 m.
  • Therefore, Raina should walk 25 m after turning left.
  • This way Raina will reach X which is 115 m North of the bus stand as required.

Hence, the correct answer is ‘Left, 25 m’.

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